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Finding the Fourth Proportional to 20,573.76, 28,391.76 and 11,142.24

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Solution

The fourth proportional to 20,573.76, 28,391.76 and 11,142.24 is: 15,376.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,573.76 : 28,391.76 = 11,142.24 : x
  2. Step 2: Convert to fraction form
    20,573.76/28,391.76 = 11,142.24/x
  3. Step 3: Cross multiply
    20,573.76x = 28,391.76 × 11,142.24
  4. Step 4: Simplify right side
    20,573.76x = 316,347,803.94
  5. Step 5: Solve for x
    x = 316,347,803.94/20,573.76
  6. Step 6: Final answer
    x = 15,376.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.